How to express volume of a cube as a monomial

Question

asked May 26, 2018 53.8k views

1 Answer

Upog · Answer 1 · 2018-05-31T02:28:28+0000

Answer:

$V=27c^(18)d^(6)\ units^3$

Explanation:

The complete question in the attached figure

we know that

The volume of a cube is equal to

V=b^3

where b is the length side of a cube

In this problem we have

b=3c^(6)d^(2)

substitute in the formula

V=(3c^(6)d^(2))^3

V=(3)^(3)(c^(6))^(3)(d^(2))^(3) -----> by power of a product

V=(3)^(3)(c^(6*3))(d^(2*3)) ----> by power of a power

Simplify

$V=27c^(18)d^(6)\ units^3$